Eur. Phys. J. Plus (2022) 137: 147
https://doi.org/10.1140/epjp/s13360-021-02315-w

Regular Article

Approximate solutions of Schrodinger equation and expectation values of Inversely Quadratic Hellmann-Kratzer (IQHK) potential

Faculty of Physical Sciences, Federal University of Technology, Owerri, Nigeria

^a chibueze.onyenegecha@futo.edu.ng

Received: 12 October 2021
Accepted: 22 December 2021
Published online: 21 January 2022

Abstract

The study presents approximate solutions of Schrodinger equation with the Inversely quadratic Hellmann-Kratzer (IQHK) potential. The energy eigenvalues and corresponding wavefunctions are obtained analytically using the Nikiforov-Uvarov (NU) method. The expectation values of inverse position r⁻¹, square of inverse position, r⁻², kinetic energy, T, potential energy, V, and square of momentum, p², and their respective numerical values are evaluated via the Hellmann–Feynman theorem. Special cases of IQHK potential are also reported.